The laminate composite structure is easily to lose the bonding between laminas due to the manufacture defect, or impacted by the outside objects .The de-bonding between the plys observed in the laminate composite is called de-Iamination. The resistance capability against the compression force for the laminated composite is going down very much. The raising compression force applied to the delaminated composite structure will cause the buckling phenomena. In this paper, 3-D finite element method is applied to analyze the buckling problems of the delaminated composite. Different delaminated locations and lengths of composite laminate were studied. The nonlinear contact elements at the locations of de-Iamination are applied. The published experimental data were used to check the analytical results. Good agreements were obtained between the finite element analyses and experimental results.